You have 48 minutes to exercise at the gym. The elliptical trainer burns 9 calories per minute, while the treadmill burns 8 calories per minute. You want to burn 400 calories total using both machines. How much time should you spend on each machine

Answers

Answer 1

Answer:

16 minutes on the elliptical trainer and 32 minutes on the treadmill.  

Step-by-step explanation:

We have the following relation for the training in both machines:

[tex] 400 cal = 9 cal/min*t_{1} + 8 cal/min*t_{2} [/tex]    (1)

Where:

t₁: is the time spent on the elliptical trainer

t₂: is the time spent on the treadmill    

With:

[tex] t_{1} + t_{2} = 48 min [/tex]    (2)  

From equation (2) we have:

[tex] t_{1} = 48 min - t_{2} [/tex]    (3)

By entering equation (3) into (1):

[tex] 400 cal = 9 cal/min*(48 min - t_{2}) + 8 cal/min*t_{2} [/tex]  

[tex] 400 cal = 432 cal - 9 cal/min*t_{2} + 8 cal/min*t_{2} [/tex]

[tex] t_{2} = \frac{32 cal}{1 cal/min} = 32 min [/tex]

Now, we can find t₁:

[tex] t_{1} = 48 min - t_{2} = 48 min - 32 min = 16 min [/tex]              

Therefore, you should spend 16 minutes on the elliptical trainer and 32 minutes on the treadmill.

I hope it helps you!


Related Questions

A. 90

B. 70

C. 55

D. 35

Answers

Answer:

A. 90

Step-by-step explanation:

Since the 2 lines on the left are parallel, they both will line up. Also the other answers don't make sense

Answer:

The answer is A.90 degrees

Step-by-step explanation:

Hope it helps

Have a great day

:)

Given that an intercepted arc has length 6π inches and the central angle is π/3 find the radius of the circle.

A)2 inches
B)3 inches
C)9 inches
D)18 inches

Answers

Answer:

18 inches

length S=radius R *angle

6π=r*π/3

πr=18π

r=18

Jon walked 90 feet in 10.4 seconds. What is his speed in miles per hour? (1 mi=5280 ft)

Answers

90/5280 = 10.4/x

Solve for x.

Simplify the following.
7^1=
4^0 =
6^-1 =

Answers

Answer:

1. = 7

2. = 1

3. = 0.16

Step-by-step explanation:

Simplify by combining like terms
m - (2m + 5n - 3m)

Answers

Answer:

=2m−5n

Step-by-step explanation:

Let's simplify step-by-step.

m−(2m+5n−3m)

Distribute the Negative Sign:

=m+−1(2m+5n−3m)

=m+−1(2m)+−1(5n)+−1(−3m)

=m+−2m+−5n+3m

Combine Like Terms:

=m+−2m+−5n+3m

=(m+−2m+3m)+(−5n)

=2m+−5n

I need help on this please and thank you and I’ll like to see an explanation so I can see how to do this thanks

Answers

the second one

Step-by-step explanation:

Tan0 plus sec0 equals cos0 divided by 1 minus sin0

Answers

Answer:

False

Step-by-step explanation:

1=cos(1)

The sides are not equal

Fifteen more than the product of a number and seven

Answers

Answer:

15+ (B x 7)

Step-by-step explanation:

The perimeter of a rectangular ink pad is 22 centimeters the area is 28 square centimeters

Answers

Answer

W=7

Explanation:

The formula for the perimeter for a rectangle is P = 2L + 2W

The formula for the area of a rectangle is A = LW

where L = length and W = width

P = 22 and A = 28

22 = 2L + 2W

28 = LW

Rewriting the 2nd equation L = 28/W

Substituting this into the first equation

22=2(28/W) + 2W

Reworking the equation to eliminate the denominator

22W = 2(28) + 2W2

22W = 56 + 2W2

and

2W2 - 22W + 56 = 0

Dividing by 2

W2 - 11W + 28 = 0

(W-7)(W-4)

Set each factor equal to 0 and solve each for 0

W = 4, W = 7

then W = 4

I got help from my tutor

your welcome

help please!!!! The ratio of blue marbles to red marbles in a bag is 2:3. In the same bag, the ratio of blue marbles to yellow marbles is 1:1. Which of the following statements is true?

There are less yellow marbles than red marbles.
There are less yellow marbles than blue marbles.
There are less red marbles than blue marbles.
There are less blue marbles than yellow marbles.

Answers

Answer:

There are less yellow marbles than red

:)

Step-by-step explanation:

Answer:

There are less yellow marbles than red marbles.

Step-by-step explanation:

Evaluate (-12)(-2)^2
48 576
-48

Answers

Answer:

"√ 75 " "6 !/ 3 !"  "√ 16"  click brainliest and thanks<3

Which point could be removed in order to make the relation a function?

{(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)}

(8, 3)
(3, –6)
(–1, 8)
(–4, –2)

Answers

Answer:

(3, –6)

Step-by-step explanation:

A function is a relation where one input is assigned to exactly one output.

This means that no inputs must be repeated in the relation.

(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)

The input of '3' repeats in the relation.

By removing (3, -6), we can make the relation given a function.

Hope this helps.


Simplify the expression below.
(43+1)^3
A. 1223 + 1
B. 6432 + 1
C. 6413 + 48y2 + 16y + 3
D. 6413 + 4812 + 12y + 1

Answers

I believe the answer is C

4 divided by 2/3 simplest form

Answers

Answer:

6

See photo for explaination.

Is this sequence arithmetic? -2.4,9.8,22,34.2...

Answers

Answer:

Yes

Step-by-step explanation:

9.8 - (-2.4) = 12.2

22 - 9.8 = 12.2

34.2 - 22 = 12.2

Since it increases by the same amount each time it is arithmetic

T/F. A triangle is an equilateral triangle if and only if it's equiangular.
O
True
False

Answers

It’s true where my points at

Answer:

true

Step-by-step explanation:

3x - y = -1

-3x -y = 5

x = y =

Answers

Answer:

Step-by-step explanation:

Step 1: Solve3x-y=-1 for y

3x-y=-1

3x-y+-3x=-1+-3x (add -3x to both sides)

-y=-3x-1

-y/-1=-3x-1/-1 (divide both sides by -1)

y=3x+1

Step 2:  3x+1 for y in -3x-y=5

-3x-y=5

-3x-(3x+1)=5

-6x-1=5 (simplify both sides of the equation)

-6x-1+1=5+1 (add 1 to both sides)

-6x=6

-6x/-6=6/-6 (divide both sides by -6)

x=-1

Step 4: Substitute -1 for x in y=3x+1

y=3x+1

y=(3)(-1)+1

y=-2

ANSWER: x=-1, and y=-2

The square root of -72

Answers

'8.48528137 i' or 'unidentified'

-72 isn't actually possible because a positive number times a positive number is always a positive and a negative number times a negative number is always a positive number. So you could say "unidentified".

But in HiGh sChOoL you'll learn about imaginary numbers (according to my teachers), and how it works is; basically just find the square root of 72 and write 'i' after. 'I' stands for imaginary number.

Madison’s manicure cost $25.90. She wants to leave a 15% tip. Which of the following is closest to the amount of the tip she wants to leave?

A. $2.00

B. $3.00

C. $4.00

D. $5.00

Answers

Answer:

C) $4.00

Step-by-step explanation:

Here's how I did it:

So we're trying to find 15% of $25.90... we can say that the $25.90 is 100% of Madison's Manicure... 100% can also be written as 1.0... why? well if 1.0 is 100%, then we can say any other percentage is proportionate to this... for example... 0.25 is 25% of 1.0... In this case... we are trying to add an additional 15% to the 100% price of the manicure... (Remember... with our proportion we can say that 115% is the same as 1.15) If we take our proportion:

1.15 x 25.90 = 3.89

4.00 is the closest to 3.89

therefore the answer is C) $4.00

f (x) = 1/2 (x +4)^2 – 3
Transformation

Answers

Answer:

ok man

Step-by-step explanation:

Answer:

Assuming the parent function of f(x) = x²

Transformations:

Vertical compression by a factor of ½.Horizontal translation/shift left 4 units.Vertical translation/shift down 3 units.

what is 1 whole 5/8 - 1/3 ............

Answers

Answer:

1 7/24.

Step-by-step explanation:

1 whole 5/8 = 1 5/8 = 1.625

Find common denominators which is 24

So, 5/8 - 1/3 = 7/24

what is the daily average snowfall

Answers

Answer:

you know i say ummm bout 10

yea what she said sorry i just need to answer to get answers sorry

What percent is16 out of 64? It is _ .

Answers

16 out of 64 is 25% hope this helped

Which of the following functions is represented by the statement, “A number is ten less than four times another number”? f ( x ) = − 4 x − 10 f ( x ) = − 4 x − 10 f ( x ) = 4 x − 4 f ( x ) = 4 x − 4 f ( x ) = 4 x − 10 f ( x ) = 4 x − 10 f ( x ) = − 10 x + 4

Answers

Answer:

f ( x ) = 4 x − 10

Step-by-step explanation:

Need help asap isnt too hard i just hate these questions

Answers

(2x-3) + (3x+6) = 73

Solve for x

2x - 3 + 3x +6  = 73

5x +3 = 73

5x = 70

x =14

Substitute x into the equations

2(x) - 3 = ?

3(x) + 6 = ?

At the zoo, 457 students visit the giraffes and 315 adults visit the
giraffes. ABOUT how many people visited the giraffes in all? Round
to the nearest ten.

Answers

Answer:

About 770 giraffes

Step-by-step explanation:

457+315=772

What is the value of 'x'?

Answers

Answer:

93

Step-by-step explanation:

All the angles in a triangle add up to 180 degrees.

52 + 35 + x = 180

87 + x = 180

x = 93 degrees

Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account. a. CD, savings account, checking account, money market account b. Savings account, checking account, CD, money market account c. CD, money market account, savings account, checking account d. Checking account, savings account, money market account, CD

Answers

Answer:

d. Checking account, savings account, money market account, CD

Answer: The answer is D. Checking account, savings account, money market account, CD.

Graph the line
y = 3x -8

Answers

Step-by-step explanation:

That is what your line should look like

:)

419.045 or 419.099 which one of these is greater and which is less.

Answers

Answer:

419.099 is less than 419.045

Step-by-step explanation:

Answer:

419.099 is greater

Step-by-step explanation:

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